MLB Draft 2015: Pick-by-pick results Keep up with the Day 1 picks live as they happen. Share this story Share All sharing options for: MLB Draft 2015: Pick-by-pick results Crystal LoGiudice-USA TODAY Sports Day one of the MLB Draft kicks off Monday night with the first 75 picks live on MLB Network. Although the 2015 draft doesn’t have nearly as much high-end talent as in years past, there remains plenty of quality players. The top 10 picks are expected to be heavy on shortstops and college pitchers, with Vanderbilt’s Dansy Swanson the favorite to go No. 1. The Diamondbacks own this year’s top selection, and they’ve kept their plans close to the vest.